The student council is responsible for setting up the tables for
an awards banquet at the end of the year.

There are 144 people
who confirmed that they would attend the banquet.

The equation
8x +12y = 144 models this situation, where x is the number of
circular tables and y is the number of rectangular tables.

Find the x- and y-intercepts.

Answers

Answer 1

On solving the provided question, we can say that - here in the slope intercept [tex]2y / 2 = -4x /2 + 24 / 2 = > y = -2x + 12\\[/tex]

what is slope intercept?

The point on the y-axis where the slope of the line passes is known as the intersection point in mathematics. the location on a line or curve where the y-axis crosses that point. This is demonstrated by putting y = mx+c as the equation for the straight line, where m denotes the slope and c the y-intercept. In the intercept form of the equation, the slope (m) and y-intercept (b) of the line are highlighted. The slope is m, and the y-intercept is b for equations in the intercept form (y=mx+b). Additionally, certain equations may be recast to seem like slope intercepts. For instance, if y=x is rewritten as y=1x+0, the slope becomes 1 and the y-intercept becomes 0.

y = mx + c

m = slope, c = y-intercept

[tex]4x + 2y = 24\\2y = -4x + 24\\2y / 2 = -4x /2 + 24 / 2\\y = -2x + 12\\[/tex]

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Related Questions

convert 614 into base five number system.​

Answers

Answer:

4424

Step-by-step explanation:

the number 614 is in the base ten system that we use every day. the base five system represents each digit in the number represents the number of copies of that power of 5.

check out:

rapidtables.com/convert/number/base-converter.html

Rahul and his children went into a restaurant that sells hamburgers for $8 each and tacos for $4 each. Rahul has $80 to spend and must buy at least 11 hamburgers and tacos altogether. If x represents the number of hamburgers purchased and y represents the number of tacos purchased, write and solve a system of inequalities graphically and determine one possible solution.

Answers

x+y≥11 and 8x+4y=80 are system of inequalities and the number of tacos are two.

What is Inequality?

a relationship between two expressions or values that are not equal to each other is called 'inequality.

Given that Rahul and his children went into a restaurant that sells hamburgers for $8 each and

tacos for $4 each.

Rahul has $80 to spend and must buy at least 11 hamburgers and tacos altogether.

Let  x represents the number of hamburgers purchased and y represents the number of tacos purchased,

x+y≥11...(1)

8x+4y=80..(2)

8(11-y)+4y=80

88-8y+4y=80

88-4y=80

8=4y

y≥2

Hence, x+y≥11 and 8x+4y=80 are system of inequalities and the number of tacos are two.

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The cross-section of a wall is 7/16 of an inch thick. If the drywall is 1/4 inches thick, how thick is the texturing on wall? A. 3/16, b. 6/12, C 1/4, D 6/16

Answers

When the cross-section of a wall is 7/16 of an inch thick and the drywall is 1/4 inches thick, the thickness of the texturing on wall is A. 3/16

How to calculate the Fraction?

A fraction simply means a piece of a whole. In this situation, the number is represented as a quotient such that the numerator and denominator are split. In this situation, in a simple fraction, the numerator as well as the denominator are both integers.

From the information, the cross-section of a wall is 7/16 of an inch thick. If the drywall is 1/4 inches thick. The thickness of the texturing on the wall is the total thickness of the wall minus the thickness of the drywall. The total thickness of the wall is 7/16 inches, and the thickness of the drywall is 1/4 inches, so the thickness of the texturing is:

= 7/16 inches - 1/4 inches

= 3/16 inches.

Therefore, the answer is A. 3/16 inches.

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1+2^2 for brainliest + 40 points

Answers

Answer:

5

Step-by-step explanation:

u do 2x2 cuz of the square root and add the 1

Which pair of ratios is proportional?

Answers

Answer:

Ratios are proportional if they represent the same relationship.

Step-by-step explanation:

The ratios 7/14 and 20/40 are in proportion. Therefore, option D is the correct answer.

What is a proportional relationship?

Proportional relationships are relationships between two variables where their ratios are equivalent. Another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other. That constant is known as the "constant of proportionality".

Here,

A) 6/21 and 2/42

2/7 and 1/21

So, the given ratios are not in proportion.

B. 25/100 and 50/150

1/4 and 1/3

So, the given ratios are not in proportion.

C. 18/24 and 6/12

3/4 and 1/2

So, the given ratios are not in proportion.

D. 7/14 and 20/40

1/2 and 1/2

The given ratios are in proportion.

Therefore, option D is the correct answer.

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"Your question is incomplete, probably the complete question/missing part is:"

Which pair of ratios is proportional?

A. 6/21 and 2/42

B. 25/100 and 50/150

C. 18/24 and 6/12

D. 7/14 and 20/40

Mark bought five packs of markers for $12.25. What is the cost of a pack of markers, in dollars, if all the packs cost the same?

Answers

Answer:

The cost of a single pack would be $2.45.

Step-by-step explanation:

If a 5 pack costs 12.25 then to find the cost of 1 packet we need to divide.

We would divide by 5.

$12.25/5=$2.45

can someone please help me with this it’s geometry

Answers

Since the lengths EH and FG have the identical slope ratios as the parallel lines problem that is being given, assertion 4 is true, and so statement 4 is: EHFG.

Parallel Lines: What is it?

Two non-vertical lines with the same slope that are located in the same plane are said to be parallel. Two parallel lines cannot cross each other. Right angles connections are those that intersect two non-vertical line in the same plane at a right angle.

Here,

The slope values in EH and FG are the same.

the exhibited proof, which is zero.

This implies that they follow one another in a straight line.

Since the sections EH and FG share the same gradient values as the parallel lines problem that is being given, assertion 4 is true, and so statement 4 is: EH||FG.

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Find the area. The figure is not drawn to scale.

Answers

Answer:

19.17cm^2

Step-by-step explanation:

The area for a parallelogram is found by multiplying the base by the height, the base is 2.7cm and the height is 7.1cm, multiply to get the answer of 19.17cm^2

Hope this helps!

Please help

need help​

Answers

Answer:

The answer is B

Step-by-step explanation:

I'm not 100% sure but since its translated 3 units left it should be y=f(x-3)

Answer:

  a.  y = f(x+3)

Step-by-step explanation:

Replacing x in a function with x-h moves the graph h units to the right. Here, the graph is moved 3 units to the left, so the value of h must be -3.

  f(x -(-3)) = f(x+3)

The red graph is described by ...

  y = f(x+3)

If m42 = 26, what is mZ16?

Answers

Answer:

∠ 16 = 26°

Step-by-step explanation:

∠ 10 = ∠ 2 = 26°  ( corresponding angles )

∠ 12 = ∠ 10 = 26°  ( vertical angles )

∠ 16 = ∠ 12 = 26° ( corresponding angles )

Solve quadratic equation by square roots method 2x^2-18=0

Answers

Answer:

x = 3 and x = -3 (aka. x = ±3)

Step-by-step explanation:

2x² - 18 = 0

x² - 9 = 0

x² = 9

x = ±3

Therefore, x = 3 and x = -3

Directions: Convert the following as indicated. Round to the
nearest 10th
20.8 kg = lb


A) 30.1

B) 35.7

C) 40.2

D) 45.8

Answers

Answer:

20.8 Kg is equal to 45.86 lbs

Step-by-step explanation:

As we know

1 kilo grams (Kg)  is equal to 2.20462 pounds (lbs)

Given weight = 20.8 kg

On converting 20.8 kg in pounds (lbs), we get -

[tex]= 20.8 * 2.20462\\= 45.856[/tex]lbs

Rounding off to the nearest 10ths, we get -

20.8 Kg is equal to 45.86 lbs

use the order of operations to evaluate the expression 4×(3/4 - 1/2) +3×6​

Answers

Answer:

19

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Step-by-step explanation:

Step 1: Define

4 × (3/4 - 1/2) + 3 × 6

Step 2: Evaluate

(Parenthesis) Subtract:                                                                                     4 × 1/4 + 3 × 6Multiply:                                                                                                             1 + 3 × 6Multiply:                                                                                                             1 + 18Add:                                                                                                                   19

what does x equal????????????????//

Answers

Answer:

i don't know what does x equal?

its x=1/6

Step-by-step explanation:

do you need the step by step? i don't know, I'm gonna give it to you anyways.

x+2/3 =5/6

x+2/3-2/3 =5/6 - 2/3

then just subract the number and bam!

x=1/6

Step-by-step explanation:

We have ,

> 3/4= x/20

> x = 3/4 × 20

> x = 15

Solution 2 :-

> x + 2 / 3 = 5/6

> x + 2 = 5/6 × 3

> x + 2 = 5/2 = 2.5

> x = 2.5 - 2

> x = 0.5

Using the info given, solve for the missing value of the right triangle. Round each angle to the nearest degree, each length to the nearest tenth, & each trigonometric value to four decimal places, if necessary.
Opposite side = 14 in.
Adjacent side = 22 in.
cos θ = ?

Answers

Answer
Since this is a right triangle, we can use the inverse cosine function to solve for the angle θ.

cos θ = Opposite side / Adjacent side

cos θ = 14 / 22

cos θ = 0.6363

θ = cos^-1 (0.6363)

θ ≈ 45.9°

Which event is LEAST LIKELY to occur?

A. Event A

B. Event B

C. Event C

D. Event D

DO NOT ANSWER IF YOU DO NOT KNOW THE ANSWER! Whoever answers correctly will get Brainliest! :)

Answers

A because it’s the closet to 0!

What is the y-intercept for 6x - 2y = 15

Answers

Answer:

-2y=-6x+15

2y=6x-15

y=3x-7.5

y intercept is 7.5

Step-by-step explanation:

make y the subject

(HELP ASAP!)
In baseball, each time a player attempts to hit the ball, it is recorded. The ratio of hits compared to total attempts is their batting average. Each player on the team wants to have the highest batting average to help their team the most. For the season so far, Jana has hit the ball 7 times out of 10 attempts. Tasha has hit the ball 10 times out of 16 attempts. Which player has a ratio that means they have a better batting average?

Tasha, because she has the lowest ratio since 0.7 < 0.625
Tasha, because she has the highest ratio since 56 over 80 is greater than 50 over 80
Jana, because she has the highest ratio since 56 over 80 is greater than 50 over 80
Jana, because she has the lowest ratio since 0.7 < 0.625

Answers

Jana, because she has the highest ratio since 56 over 80 is greater than 50 over 80.

What is ratio?

The numerical relationship between two values that demonstrates how frequently one value contains or is contained within another.

Given:

In baseball, each time a player attempts to hit the ball, it is recorded.

The ratio of hits compared to total attempts is their batting average.

Each player on the team wants to have the highest batting average to help their team the most.

For the season so far,

Jana has hit the ball 7 times out of 10 attempts.

Tasha has hit the ball 10 times out of 16 attempts.

To find the ratio of batting average:

We must find the same number of attempts.

So,

Jana has ratio 7/10.

So, 56 /80 = 0.7

Tasha has ratio 10/16.

So, 50 / 80 = 0.625

Therefore, Jana has the highest batting average.

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In a recent sample of 84 used car sales costs, the sample mean was $6,425 with a standard deviation of $3,156. Assume the underlying distribution is approximately normal.a. Which distribution should you use for this problem

Answers

Answer:

By the Central Limit Theorem, an approximately normal distribution, with mean $6425 and standard deviation $344.35.

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Sample mean was $6,425 with a standard deviation of $3,156

This means that [tex]\mu = 6425, \sigma = 3156[/tex]

Sample of 84:

This means that [tex]n = 84, s = \frac{3156}{\sqrt{84}} = 344.35[/tex]

a. Which distribution should you use for this problem?

By the Central Limit Theorem, an approximately normal distribution, with mean $6425 and standard deviation $344.35.

One third of the students at max middle school play a musical instrument. If 152 students play an instrument. How many students are at the school

Answers

Answer:

456 students attend Max Middle School.

Step-by-step explanation:

In this problem, it states 152 students play an instrument. It then says, 1/3 of the students play an instrument within the school. So, what you need to do to find the total number of students is multiply 152 times 3.

152·3=456

As a result, here is your product or your answer.  

Need help ASAP
Which function is continuous across its domain

Answers

Answer:

I have the same question, so i chose B and got it right :)

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

plato

4 to the power of 3 space end exponent minus space 60 space divided by space 15 space plus space 6 space cross times space 2 space

Answers

Answer: 4/27 or 0.148148

First you solve for any grouping symbols ( absolute value, parentheses, brackets, etc.) Since there aren’t any you move on to exponents, 4^3 is the same as 4*4*4 which equals 64. Next you do multiplication 6*2 is 12 so our problem is currently

64-60 over 15+12. Next you simplify, which make the problem 4/27. You can divide which makes your problem 0.148148 but most of the times you keep it as a fraction.

What percentage of the data values are greater than 45?

Answers

Answer:

50%

Step-by-step explanation:

45 is the median of this box plot and, theoretically, 50% of the data resides between the minimum and the median and 50% resides between the median and the maximum

how many full cases and additional items are needed to fulfill the order 56 items ordered 6 items per case

Answers

There are 9 full cases and 2 additional items are needed to fulfill the order 56 items ordered 6 items per case.

What is Division method?

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

56 items ordered for 6 items per case.

Now, After divide the quotient shows the number of full case and remainder shows the additional items.

Hence, We get;

 6 ) 56 ( 9

      54

   ---------

        2

Thus, There are 9 full cases and 2 additional items are needed to fulfill the order 56 items ordered 6 items per case.

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In a sample of 178 students at an Australian university that introduced the use of plagiarism-detection software in a number of courses, 51 students indicated a belief that such software unfairly targets students. Does this suggest that a majority of students at the university do not share this belief

Answers

Answer:

No it does not suggest that a majority of students at the university do not share this belief

Step-by-step explanation:

No it does not suggest that a majority of students at the university do not share this belief

It is so because we do not know what is the population of university students and how much 178 people relate to the actual population of the university.

Also, the sub set of 178 of the total university population do not represents the entire university population.

what does doing mathematics means​

Answers

Answer:

Doing math means generating strategies for solving problems, applying those approaches, seeing if they lead to solutions, and checking to see if your answers make sense

to solve 2/5 x = 14, you multiply both sides of the equation by 5/2. your friend divides both sides of the equation by 2/5. who is right? explain.

Answers

Both of you are correct because using either way can solve the equation for the value of x.

How to solve for x ?

In the case of solving for x in  2/5 x = 14, the goal is to get rid of the fraction that is multiplying x on the left side. This can be done by either multiplying both sides of the equation by the inverse of 2 / 5 ( which is 5 / 2 ) or by dividing both sides by 2 / 5.

Doing either of these things would get rid of the 2 / 5 and give an answer to x as shown below :

Multiplying :

2/5 x = 14

5 / 2 x 2 / 5 x = 14 x 5 / 2

x = 35

Dividing :

2/5 x = 14

2 / 5 x / 2 / 5 = 14 / 2 / 5

x = 35

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Express (x-12)^2(x−12)
2
as a trinomial in standard form.

Answers

The trinomial (x - 12)² in standard form is x² - 24x + 144

How to evaluate the trinomial in standard form

From the question, we have the following parameters that can be used in our computation:

(x-12)^2

Express properly

So, we have the following representation

(x - 12)²

Expand the expression

This gives

(x - 12)² = (x - 12) * (x - 12)

Open the brackets

This gives

(x - 12)² = x² - 12x - 12x + 144

Evaluate the like terms

(x - 12)² = x² - 24x + 144

Hence, the trinomial is x² - 24x + 144

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Given the following.

U = {1,2,3,4,5,6,7,8,9,10,11}

A = {3,4,6,7,11}

B = {4,5,6,8}.

Find (A U B)' U B.

Answers

Answer:

I guess you don't get the numbers which are not in the A and B

like 1,2,9,10

The requried set of (A U B)' U B is given as (A U B)' U B. = {1, 2, 4, 5, 6, 8, 9, 10}.

What is set?

Sets are an orderly collection of items in mathematics that can be expressed in set-builder or roster form.

here,
U = {1,2,3,4,5,6,7,8,9,10,11}

A = {3,4,6,7,11}

B = {4,5,6,8}.

A U B =  {3, 4, 5, 6,7, 8, 11}
(A U B)' = {1, 2, 9, 10}

(A U B)' U B. = {1, 2, 4, 5, 6, 8, 9, 10}

Thus, the requried set of (A U B)' U B is given as (A U B)' U B. = {1, 2, 4, 5, 6, 8, 9, 10}.

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(PLEASE HELP I WILL GIVE U BRAIN THING IF ITS CORRECT NO LINKS PLEASE)

Answers

Answer:

1. Mary's mother gave her ten dollars to spend at the Market. Mary then spends two and a half dollars on her favorite candy. Mary wants to know how much money she has left.

2. x represents the amount of money Mary has remaining.

3. x + 2 1/2 = 10

(sub tract 2 1/2 from each side)

x = 7 1/2

Step-by-step explanation:

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